TENSILE STRESS IN A BAR


Tensile Stress in a Bar Calculator has been developed to calculate tensile stress (or compressive stress), normal/shear stress on any oblique section of the bar, longitudinal/lateral strain, longitudinal/lateral deflection and total strain energy. The deformed bar under tensile stress is shown in the following figure.

If a straight bar, of any cross section, of homogeneous material, is axially loaded , the bar elongates under tension and shortens under compression. On any right section to the load, there is a uniform tensile (or compressive) stress. On any oblique section, there is a uniform tensile (or compressive) normal stress and a uniform shear stress.

Basic assumptions for "Tensile Stress in a Bar Calculator" are:

- The loads are applied at the center of ends,

- Uniform stress distribution is occured at any section of the bar,

- The bar is constrained against buckling,

 - The stress does not exceed the proportional limit.



Calculator:

Tensile Stress in a Bar
INPUT PARAMETERS
Parameter Symbol Value Unit
Applied Load
Cross-sectional Area
(before loading)
A
Length (before loading) l
Lateral Dimension d
Elastic Modulus E
Poisson's Ratio ν ---
Angle θ deg



OUTPUT PARAMETERS
Parameter Symbol Value Unit
Tensile Stress σ ---
Normal Stress in any Oblique Plane σθ ---
Shear Stress in any Oblique Plane τθ ---
Longitudinal Strain ε --- ---
Lateral Strain ε' ---
Longitudinal Deflection δ --- ---
Lateral Deflection δ' ---
Total Strain Enegy U ---

Note: Use dot "." as decimal separator.
Note: Negative stresses are compression stresses.

 

Supplements:



Link Usage
Material Properties Thermal expansion coefficient and elastic modulus values of steels, aluminum alloys, cast irons, coppers and titaniums.

List of Equations:

Parameter/Condition Symbol Equation
Tensile Stress σ σT = P/A
Normal Stress in any Oblique Section σθ σθ = (P/A)*cos2θ
Shear Stress in any Oblique Section τθ τθ = (P/2A)*sin2θ
Longitudinal Strain ε ε = σ/E
Longitudinal Deflection δ δ = (Pl)/(AE)
Lateral Strain ε' ε' = -νε
Lateral Deflection δ' δ' = ε'd

Reference: